sinπ⼀12-√3cosπ⼀12的值 要详细过程.

2025-07-03 12:10:20
推荐回答(2个)
回答1:

sinπ/12-√3cosπ/12
=2[(1/2)*sin(π/12)-(√3/2)*cos(π/12)]
=2[sin(π/12)cos(π/3)-cos(π/12)sin(π/3)]
=2sin(π/12 - π/3)
=2sin(-π/4)
=-2sin(π/4)
=-根号2

回答2:

sinπ/12-√3cosπ/12=2cos75°=(√2-√6)/2